Understanding Chi-Square Tests Quiz

Which of the following is a condition for using the chi-square test?

• The data must be continuous

• The expected frequency for each category should be at least 5

• The sample size must be less than 30

• The data must be normally distributed

How do you calculate the expected frequency in a chi-square GOF (goodness of fit) test?

What is the null hypothesis in a chi-square test of homogeneity?

• The distributions of the categorical variables are the same across different populations

• The distributions of the categorical variables are different across different populations

• The means of the populations are equal

• The variances of the populations are equal

Which of the following is NOT a type of chi-square test?

• Chi-square test of homogeneity

• Chi-square test of variance

• Chi-square goodness of fit test

What is the formula for the chi-square statistic?

What is the degree of freedom for a chi-square goodness of fit test with 5 categories?

• 4

• 5

• 6

• 3

Which of the following is true about the chi-square distribution?

• It is symmetric

• It is skewed to the right

• It is skewed to the left

• It is uniform

What is the expected frequency for a category if the total number of observations is 100 and the probability of the category is 0.2?

• 10

• 20

• 30

• 40

Which of the following is a characteristic of the chi-square test of homogeneity?

• It compares the means of two groups

• It compares the variances of two groups

• It compares the distribution of a categorical variable across different populations

• It compares the medians of two groups

Which of the following is an assumption of the chi-square test?

• The data must be normally distributed

• The samples must be independent

• The data must be continuous

• The sample size must be less than 30